Past Events
Abstract: A slope p/q is characterizing for knot K if the resulting Dehn surgery determines K up to isotopy. Generalizing a question of Baker and Motegi, McCoy conjectured that for any knot, non-integral slopes p/q with |p|+|q| sufficiently large are characterizing. An advance towards this…
Last passage percolation (LPP) is a model of random geometry where the main observable is a directed path evolving in a random environment. When the environment distribution has light tails and a fast decay of correlation, the random fluctuations of LPP are predicted to be explained by the…
Given two four-dimensional symplectic manifolds, together with knots in their boundaries, we define an ``anchored symplectic embedding'' to be a symplectic embedding, together with a two-dimensional symplectic cobordism between the knots (in the four-dimensional cobordism determined by the…
Eigenvarieties are parameter spaces of certain p-adic automorphic forms of varying weights. Part of the p-adic Langlands program aims to relate eigenvarieties to spaces of trianguline Galois representations. For definite unitary groups, this connection has been…
We study the renormalization group method and its applications in probability theory.
Introduction to the compressible Euler equations and local wellposedness in the framework of symmetric hyperbolic systems.
We will review basic results about involutive Heegaard Floer homology that will be relevant to our further discussion of corks this quarter.
The statement and proof of the patchworking theorem (Section 2.3.1–2 of [IMS09])
In this talk, we will define the rational bass note spectrum of a homogeneous polynomial. We will explain how in certain special cases, its behavior is linked to heights of orbits inside homogeneous spaces, as well as many classical problems in simultaneous Diophantine approximation. We will…
Karma is a never ending cycle, unless there's a singularity. We will introduce Grothendieck's nearby and vanishing cycle functors, which detect singularities of algebraic varieties.